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225034512047 is a prime number
BaseRepresentation
bin1101000110010100011…
…0100010011010101111
3210111212001010122221022
43101211012202122233
512141332313341142
6251213542324355
722154364535412
oct3214506423257
9714761118838
10225034512047
118748912a684
12377437296bb
13182b3a4a307
14ac6ac8db79
155cc11b26d2
hex34651a26af

225034512047 has 2 divisors, whose sum is σ = 225034512048. Its totient is φ = 225034512046.

The previous prime is 225034512041. The next prime is 225034512049. The reversal of 225034512047 is 740215430522.

225034512047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 225034512047 - 214 = 225034495663 is a prime.

It is a super-2 number, since 2×2250345120472 (a number of 24 digits) contains 22 as substring.

Together with 225034512049, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 225034511998 and 225034512016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225034512041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112517256023 + 112517256024.

It is an arithmetic number, because the mean of its divisors is an integer number (112517256024).

Almost surely, 2225034512047 is an apocalyptic number.

225034512047 is a deficient number, since it is larger than the sum of its proper divisors (1).

225034512047 is an equidigital number, since it uses as much as digits as its factorization.

225034512047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 35.

Adding to 225034512047 its reverse (740215430522), we get a palindrome (965249942569).

The spelling of 225034512047 in words is "two hundred twenty-five billion, thirty-four million, five hundred twelve thousand, forty-seven".